Exact Solutions of Anisotropic Diffusion-Limited Reactions with Coagulation and Annihilation
Condensed Matter
2010-09-22 v1
Abstract
We report exact results for one-dimensional reaction-diffusion models A+A -> inert, A+A -> A, and A+B -> inert, where in the latter case like particles coagulate on encounters and move as clusters. Our study emphasized anisotropy of hopping rates; no changes in universal properties were found, due to anisotropy, in all three reactions. The method of solution employed mapping onto a model of coagulating positive integer charges. The dynamical rules were synchronous, cellular-automaton type. All the asymptotic large-time results for particle densities were consistent, in the framework of universality, with other model results with different dynamical rules, when available in the literature.
Keywords
Cite
@article{arxiv.cond-mat/9503064,
title = {Exact Solutions of Anisotropic Diffusion-Limited Reactions with Coagulation and Annihilation},
author = {Vladimir Privman and Antonio M. R. Cadilhe and M. Lawrence Glasser},
journal= {arXiv preprint arXiv:cond-mat/9503064},
year = {2010}
}
Comments
28 pages in plain TeX + 2 PostScript figures